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Inside the D-stable matrices

โœ Scribed by Bryan E. Cain


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
362 KB
Volume
56
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


On Schur D-stable matrices
โœ R. Fleming; G. Grossman; T. Lenker; S. Narayan; S.-C. Ong ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 670 KB

It is shown that vertex stability implies Schur D-stability for real 2 x 2 matrices and real n x n tridiagonal matrices. Additional results describing the class of n x n complex Schur D-stable matrices are given.

Classes of Schur D-stable matrices
โœ R. Fleming; G. Grossman; T. Lenker; S. Narayan; S.-C. Ong ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

It is shown that vertex stability implies Schur D-stability for real 3 ร— 3 matrices. Also, principally nilpotent n ร— n complex matrices are shown to be perfectly Schur D -stable, and additional characterizations of these matrices are given.

Characterizations of classes of stable m
โœ A. Bhaya; E. Kaszkurewicz; R. Santos ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 154 KB

This paper extends some results on the structure of subsets of the set of stable matrices. For these subsets, different characterizations are obtained using the set product, defined in this paper, as well as inertia and algebraic characterizations for low dimensions (2ร—2 and 3ร—3 matrices). Some incl